In March, he won his biggest title yet in the ATP 500 tournament in Dubai, losing only one set along the way and beating in-form Lucas Pouille in the final. Bautista Agut also became the first player outside the top ten, to win the event since Fabrice Santoro in 2002.

As a junior, Bautista Agut compiled a singles win/loss record of 41–13, reaching as high as No. 47 in junior world rankings in July 2006.

In 2009, Bautista Agut qualified for the ATP 500 tournament in Valencia, where he lost to Albert Montañés in the first round.

He qualified for his first Grand Slam appearance in the 2012 Australian Open. He went on to lose in the first round to Ricardo Mello in straight sets. On 13 August 2012, Bautista Agut broke into the top 100 for the first time after strong performances in Challenger tournaments. He reached his first ATP-level quarterfinal at St. Petersburg later that year, losing to Fabio Fognini.

His 2014 campaign began in Auckland, where he made the semifinals of the Heineken Open. He lost to third seed and eventual champion, John Isner, after winning the first set.

Bautista Agut went to Russia to play in the Kremlin Cup tournament held in Moscow. He advanced all the way to the final where he took on the 2014 US Open champion, Marin Čilić, in the final. His tournament ended with a tight straight-set defeat.

His first tournament after the Australian Open was the Garanti Koza Sofia Open based in Bulgaria. Bautista Agut was the top seed and made it all the way to the final where he took on Serbian second seed Viktor Troicki. He won the match and became the inaugural Garanti Koza Sofia Open champion. This was his fourth career title and second title in 2016.

Roberto’s nickname is “Bati”. His father, Joaquín, a former football player and a banker, died in November 2019 during the Davis Cup tournament; his mother, Ester, who died unexpectedly in May 2018, owned a clothing store in Castellón de la Plana. Bautista Agut started playing tennis at the age of five when his mother signed him up to play on the weekends. His favourite shot is his forehand. His idols growing up were Juan Carlos Ferrero and David Ferrer.

Bautista Agut is married to Ana Bodi Tortosa. The couple got married on 30 November 2019.